alg/acted_monoid/summin_add.hpp

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Last update: 2024-01-23 05:58:02+09:00
Include: #include "alg/acted_monoid/summin_add.hpp"

Depends on

Verified with

test/mytest/summin_add.test.cpp

Code

#include "alg/monoid/summin.hpp"

#include "alg/monoid/add.hpp"


template <typename E>
struct ActedMonoid_SumMin_Add {
  using Monoid_X = Monoid_SumMin<E>;
  using Monoid_A = Monoid_Add<E>;
  using X = typename Monoid_X::value_type;
  using A = typename Monoid_A::value_type;
  static constexpr X act(const X& x, const A& a, const ll& size) {
    auto [xs, xm] = x;
    xm = (xm == infty<E> ? xm : xm + a);
    return {xs + E(size) * a, xm};
  }
};

#line 2 "alg/monoid/summin.hpp"

template <typename E>
struct Monoid_SumMin {
  using value_type = pair<E, E>;
  using X = value_type;
  static X op(X x, X y) { return {x.fi + y.fi, min(x.se, y.se)}; }
  static X from_element(E x) { return {x, x}; }
  static constexpr X unit() { return {E(0), infty<E>}; }
  static constexpr bool commute = true;
};
#line 2 "alg/monoid/add.hpp"

template <typename E>
struct Monoid_Add {
  using X = E;
  using value_type = X;
  static constexpr X op(const X &x, const X &y) noexcept { return x + y; }
  static constexpr X inverse(const X &x) noexcept { return -x; }
  static constexpr X power(const X &x, ll n) noexcept { return X(n) * x; }
  static constexpr X unit() { return X(0); }
  static constexpr bool commute = true;
};
#line 3 "alg/acted_monoid/summin_add.hpp"

template <typename E>
struct ActedMonoid_SumMin_Add {
  using Monoid_X = Monoid_SumMin<E>;
  using Monoid_A = Monoid_Add<E>;
  using X = typename Monoid_X::value_type;
  using A = typename Monoid_A::value_type;
  static constexpr X act(const X& x, const A& a, const ll& size) {
    auto [xs, xm] = x;
    xm = (xm == infty<E> ? xm : xm + a);
    return {xs + E(size) * a, xm};
  }
};